JEE Main 2023 (Online) 24th January Morning Shift

Paper was held on
Tue, Jan 24, 2023 3:30 AM

## Chemistry

Which of the following is true about freons?

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Match List I with List II
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The primary and secondary valencies of cobalt respectively in $$\mathrm{[Co(NH_3)_5Cl]Cl_2}$$ are :

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'A' and 'B' formed in the following set of reactions are :

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Decreasing order of the hydrogen bonding in following forms of water is correctly represented by
A. Liquid water
B. Ice

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Statement I : For colloidal particles, the values of colligative properties are of small order as compared to values sho

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Assertion A : Hydrolysis of an alkyl chloride is a slow reaction but in the presence of NaI, the rate of the hydrolysis

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An ammoniacal metal salt solution gives a brilliant red precipitate on addition of dimethylglyoxime. The metal ion is :

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Match List I with List II
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In the following given reaction, 'A' is

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'R' formed in the following sequence of reactions is :

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Reaction of BeO with ammonia and hydrogen fluoride gives A which on thermal decomposition gives $$\mathrm{BeF_2}$$ and $

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The magnetic moment of a transition metal compound has been calculated to be 3.87 B.M. The metal ion is

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Compound (X) undergoes following sequence of reactions to give the Lactone (Y).

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In the depression of freezing point experiment
A. Vapour pressure of the solution is less than that of pure solvent
B. V

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Order of Covalent bond;
$$\mathrm{A.~KF > KI ; LiF > KF}$$
$$\mathrm{B.~KF KF}$$
$$\mathrm{C.~SnCl_4 > SnCl_2 ; CuCl >

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Given below are two statements:
Statement I : Noradrenaline is a neurotransmitter.
Statement II : Low level of noradrena

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It is observed that characteristic X-ray spectra of elements show regularity. When frequency to the power "n" i.e. $${v^

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Which of the Phosphorus oxoacid can create silver mirror from $$\mathrm{AgNO_3}$$ solution?

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Increasing order of stability of the resonance structures is :
Choose the correct answer from the options given below :

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For independent process at 300 K
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When $$\mathrm{Fe_{0.93}O}$$ is heated in presence of oxygen, it converts to $$\mathrm{Fe_2O_3}$$. The number of correct

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5 g of NaOH was dissolved in deionized water to prepare a 450 mL stock solution. What volume (in mL) of this solution wo

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Uracil is a base present in RNA with the following structure. % of N in uracil is ___________
Given:
Molar mass N = 14

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Number of moles of AgCl formed in the following reaction is _____________

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The number of correct statement/s from the following is __________
A. Larger the activation energy, smaller is the value

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The dissociation constant of acetic acid is $$x\times10^{-5}$$. When 25 mL of 0.2 $$\mathrm{M~CH_3COONa}$$ solution is m

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At 298 K, a 1 litre solution containing 10 mmol of $$\mathrm{C{r_2}O_7^{2 - }}$$ and 100 mmol of $$\mathrm{Cr^{3+}}$$ sh

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The d-electronic configuration of $$\mathrm{[CoCl_4]^{2-}}$$ in tetrahedral crystal field in $${e^mt_2^n}$$. Sum of "m"

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If wavelength of the first line of the Paschen series of hydrogen atom is 720 nm, then the wavelength of the second line

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## Mathematics

Let a tangent to the curve $$\mathrm{y^2=24x}$$ meet the curve $$xy = 2$$ at the points A and B. Then the mid points of

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Let $$\mathrm{p,q\in\mathbb{R}}$$ and $${\left( {1 - \sqrt 3 i} \right)^{200}} = {2^{199}}(p + iq),i = \sqrt { - 1} $$ t

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Let N denote the number that turns up when a fair die is rolled. If the probability that the system of equations
$$x + y

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The relation $$\mathrm{R = \{ (a,b):\gcd (a,b) = 1,2a \ne b,a,b \in \mathbb{Z}\}}$$ is :

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$$\mathop {\lim }\limits_{t \to 0} {\left( {{1^{{1 \over {{{\sin }^2}t}}}} + {2^{{1 \over {{{\sin }^2}t}}}}\, + \,...\,

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$${\tan ^{ - 1}}\left( {{{1 + \sqrt 3 } \over {3 + \sqrt 3 }}} \right) + {\sec ^{ - 1}}\left( {\sqrt {{{8 + 4\sqrt 3 } \

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The value of $$\sum\limits_{r = 0}^{22} {{}^{22}{C_r}{}^{23}{C_r}} $$ is

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Let $$y = y(x)$$ be the solution of the differential equation $${x^3}dy + (xy - 1)dx = 0,x > 0,y\left( {{1 \over 2}} \ri

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Let $$\Omega$$ be the sample space and $$\mathrm{A \subseteq \Omega}$$ be an event.
Given below are two statements :
(S1

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The distance of the point (7, $$-$$3, $$-$$4) from the plane passing through the points (2, $$-$$3, 1), ($$-$$1, 1, $$-$

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The compound statement $$\left( { \sim (P \wedge Q)} \right) \vee \left( {( \sim P) \wedge Q} \right) \Rightarrow \left(

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The area enclosed by the curves $${y^2} + 4x = 4$$ and $$y - 2x = 2$$ is :

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The equation $${x^2} - 4x + [x] + 3 = x[x]$$, where $$[x]$$ denotes the greatest integer function, has :

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If A and B are two non-zero n $$\times$$ n matrices such that $$\mathrm{A^2+B=A^2B}$$, then :

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The distance of the point ($$-1,9,-16$$) from the plane $$2x+3y-z=5$$ measured parallel to the line $${{x + 4} \over 3}

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For three positive integers p, q, r, $${x^{p{q^2}}} = {y^{qr}} = {z^{{p^2}r}}$$ and r = pq + 1 such that 3, 3 log$$_yx$$

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Let PQR be a triangle. The points A, B and C are on the sides QR, RP and PQ respectively such that $${{QA} \over {AR}} =

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Let $$f(x) = \left\{ {\matrix{
{{x^2}\sin \left( {{1 \over x}} \right)} & {,\,x \ne 0} \cr
0 & {,\,x = 0} \cr

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Let $$\overrightarrow u = \widehat i - \widehat j - 2\widehat k,\overrightarrow v = 2\widehat i + \widehat j - \wideha

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Let $$\alpha$$ be a root of the equation $$(a - c){x^2} + (b - a)x + (c - b) = 0$$ where a, b, c are distinct real numbe

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Let $$\lambda \in \mathbb{R}$$ and let the equation E be $$|x{|^2} - 2|x| + |\lambda - 3| = 0$$. Then the largest eleme

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The shortest distance between the lines $${{x - 2} \over 3} = {{y + 1} \over 2} = {{z - 6} \over 2}$$ and $${{x - 6} \ov

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The 4$$^\mathrm{th}$$ term of GP is 500 and its common ratio is $$\frac{1}{m},m\in\mathbb{N}$$. Let $$\mathrm{S_n}$$ den

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Let C be the largest circle centred at (2, 0) and inscribed in the ellipse $${{{x^2}} \over {36}} + {{{y^2}} \over {16}}

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A boy needs to select five courses from 12 available courses, out of which 5 courses are language courses. If he can cho

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The value of $$12\int\limits_0^3 {\left| {{x^2} - 3x + 2} \right|dx} $$ is ____________

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Let a tangent to the curve $$9{x^2} + 16{y^2} = 144$$ intersect the coordinate axes at the points A and B. Then, the min

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Suppose $$\sum\limits_{r = 0}^{2023} {{r^2}{}~^{2023}{C_r} = 2023 \times \alpha \times {2^{2022}}} $$. Then the value o

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The value of $${8 \over \pi }\int\limits_0^{{\pi \over 2}} {{{{{(\cos x)}^{2023}}} \over {{{(\sin x)}^{2023}} + {{(\cos

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The number of 9 digit numbers, that can be formed using all the digits of the number 123412341 so that the even digits o

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## Physics

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Phot

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As per given figure, a weightless pulley P is attached on a double inclined frictionless surfaces. The tension in the st

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Given below are two statements :
Statement I : If the Brewster's angle for the light propagating from air to glass is $$

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A 100 m long wire having cross-sectional area $$\mathrm{6.25\times10^{-4}~m^2}$$ and Young's modulus is $$\mathrm{10^{10

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The weight of a body at the surface of earth is 18 N. The weight of the body at an altitude of 3200 km above the earth's

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A modulating signal is a square wave, as shown in the figure.
If the carrier wave is given as $$\mathrm{c(t) = 2\sin(8\

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From the photoelectric effect experiment, following observations are made. Identify which of these are correct.
A. The s

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Two long straight wires P and Q carrying equal current 10A each were kept parallel to each other at 5 cm distance. Magni

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A circular loop of radius $$r$$ is carrying current I A. The ratio of magnetic field at the center of circular loop and

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If two charges q$$_1$$ and q$$_2$$ are separated with distance 'd' and placed in a medium of dielectric constant K. What

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A conducting circular loop of radius $$\frac{10}{\sqrt\pi}$$ cm is placed perpendicular to a uniform magnetic field of 0

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Consider the following radioactive decay process
$$_{84}^{218}A\buildrel \alpha \over
\longrightarrow {A_1}\buildrel {

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1 g of a liquid is converted to vapour at 3 $$\times$$ 10$$^5$$ Pa pressure. If 10% of the heat supplied is used for inc

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As shown in the figure, a network of resistors is connected to a battery of 24V with an internal resistance of 3 $$\Omeg

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A travelling wave is described by the equation
$$y(x,t) = [0.05\sin (8x - 4t)]$$ m
The velocity of the wave is : [all th

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The maximum vertical height to which a man can throw a ball is 136 m. The maximum horizontal distance upto which he can

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Given below are two statements :
Statement I : The temperature of a gas is $$-73^\circ$$C. When the gas is heated to $$5

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Match List I with List II
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Given below are two statements :
Statement I : An elevator can go up or down with uniform speed when its weight is balan

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In $$\overrightarrow E $$ and $$\overrightarrow K $$ represent electric field and propagation vectors of the EM waves in

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In the circuit shown in the figure, the ratio of the quality factor and the band width is ___________ s.

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Assume that protons and neutrons have equal masses. Mass of a nucleon is $$1.6\times10^{-27}$$ kg and radius of nucleus

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A hollow cylindrical conductor has length of 3.14 m, while its inner and outer diameters are 4 mm and 8 mm respectively.

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A block of a mass 2 kg is attached with two identical springs of spring constant 20 N/m each. The block is placed on a

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Vectors $$a\widehat i + b\widehat j + \widehat k$$ and $$2\widehat i - 3\widehat j + 4\widehat k$$ are perpendicular to

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A hole is drilled in a metal sheet. At $$\mathrm{27^\circ
C}$$, the diameter of hole is 5 cm. When the sheet is heated

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Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5 cm then its radius of gyration about PQ wi

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As shown in the figure, a combination of a thin plano concave lens and a thin plano convex lens is used to image an obje

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A stream of a positively charged particles having $${q \over m} = 2 \times {10^{11}}{C \over {kg}}$$ and velocity $${\ov

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A spherical body of mass 2 kg starting from rest acquires a kinetic energy of 10000 J at the end of $$\mathrm{5^{th}}$$

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